Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The wavefront induced in a homogeneously shearing solid by a localized material imperfection

Author: M. Toulios
Journal: Quart. Appl. Math. 43 (1985), 225-235
MSC: Primary 73D35
DOI: https://doi.org/10.1090/qam/793531
MathSciNet review: 793531
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Abstract: The shape of the two dimensional wavefront induced by a line material imperfection in a large body which is being subjected to a homogeneous, time dependent antiplane shear deformation, is investigated. The body is composed of isotropic, incompressible, hyperelastic material and the constitutive relation is assumed to be such that depending on the value of one parameter, strong ellipticity fails at a strain level corresponding to the local maximum of the shear stress-strain curve. The wavefront shapes are compared when this occurs and when it does not.

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DOI: https://doi.org/10.1090/qam/793531
Article copyright: © Copyright 1985 American Mathematical Society

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